Discrete maximum principles for the FEM solution of some nonlinear parabolic problems
Electronic transactions on numerical analysis, Tome 36 (2010).

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Summary: Discrete maximum principles are established for finite element approximations of nonlinear parabolic problems. The conditions on the space and time discretizations are similar to the usual conditions for linear problems.
Classification : 65M60, 65M50, 35B50
Keywords: nonlinear parabolic problems, discrete maximum principle, finite element method
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     author = {Farag\'o, Istv\'an and Kar\'atson, J\'anos and Korotov, Sergey},
     title = {Discrete maximum principles for the {FEM} solution of some nonlinear parabolic problems},
     journal = {Electronic transactions on numerical analysis},
     publisher = {mathdoc},
     volume = {36},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2010__36__a2/}
}
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Faragó, István; Karátson, János; Korotov, Sergey. Discrete maximum principles for the FEM solution of some nonlinear parabolic problems. Electronic transactions on numerical analysis, Tome 36 (2010). http://geodesic.mathdoc.fr/item/ETNA_2010__36__a2/